Why does tripling force reduce stopping time to one-third?

[Exquisite_]

Homework Statement

If, when catching the ball, the child applied triple the force, then the length of time that it would have taken to slow the ball would have been:

A. 9t
B. 3t
C. 1/3t
D. 1/9t

Homework Equations

Impulse = Net force x Change in time

The Attempt at a Solution

At first glance, I thought the answer would be B, since it seems logical to me that if you increase the net force, the time to stop the force would be longer...but my Physics teacher said that was wrong.

Assuming that she is right, where did I go wrong in my thinking? She did not care to explain to me.

Thank you

 

[gneill]

If the impulse remains the same, the product of force and time is constant. If one goes up, what must happen to the other to preserve the product?

 

[Peter G.]

Rearrange the equation to: T = Impulse / Force and try using hypothetical numbers:

e.g: T = ?, Impulse = 30 and Force = 10

then try using the same value for impulse but multiplying the force by three, as said in the question. What do you notice to the time?

Edit: Ops! Sorry, didn't see gneill's post